Abstract
In this paper, we focus on the vibration and acoustic response of a rectangular sandwich plate which is subjected to a concentrated harmonic force under thermal environment. The critical buckling temperature is obtained to decide the thermal load. The natural frequencies and modes as well as dynamic responses are acquired by using the analytical formulations based on equivalent non-classical theory, in which the effects of shear deformation and rotational inertia are taken into account. The rise of thermal load decreases the natural frequencies and moves response peaks to the low-frequency range. The specific features of sandwich plates with different formations are discussed subsequently. As the thickness ratio of facing to core increases, the natural frequencies are enlarged, and the response peaks float to the high-frequency region. Raising the Young's modulus of the core can cause the similar trends. The accuracy of the theoretical method is verified by comparing its results with those computed by the FEM/BEM.
Highlights
Sandwich plates are extensively used in the aerospace industry due to their high ratios of strength and stiffness to weight and other good qualities, such as heat resistant and sound insulation
In order to show the necessity of considering the effects of the shear deformation and rotational inertia, the natural frequencies and vibration responses obtained through thick plate theory and thin plate theory are shown in Figs 7 and 8
The effects induced by thermal environment on the vibration response and consequent sound radiation are obtained for a sandwich plate under different conditions
Summary
Sandwich plates are extensively used in the aerospace industry due to their high ratios of strength and stiffness to weight and other good qualities, such as heat resistant and sound insulation. Thermal environment could influence the vibration and acoustic characteristics of the sandwich plate. Jeyaraj et al [10] have presented studies on vibration and sound radiation characteristics of a composite plate under thermal environment numerically. Li et al [12,13,14] have carried out vibro-acoustic analyses for structures under thermal environment, including the broadband vibro-acoustic response based on hybrid FE-SEA (Finite Element-Statistical Energy Analysis) [12], the influence of thermal stress with numerical method [13], and analytical solution for the dynamic and acoustic characteristics of an isotropic plate under thermal environments using classical plate theory [14]. The influences caused by thermal environment on the sandwich and the specific features of various sandwich plates are deeply discussed in the present study
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